Research Papers

Design of a Large-Stroke Bistable Mechanism for the Application in Constant-Force Micropositioning Stage

[+] Author and Article Information
Qingsong Xu

Smart and Micro/Nano Systems Laboratory,
Department of Electromechanical Engineering,
Faculty of Science and Technology,
University of Macau,
Avenida da Universidade,
Taipa, Macau, China
e-mail: QSXu@umac.mo

Manuscript received May 1, 2016; final manuscript received November 3, 2016; published online December 2, 2016. Assoc. Editor: Hai-Jun Su.

J. Mechanisms Robotics 9(1), 011006 (Dec 02, 2016) (7 pages) Paper No: JMR-16-1125; doi: 10.1115/1.4035220 History: Received May 01, 2016; Revised November 03, 2016

To overcome the constraint of conventional tilted beam-based bistable mechanism, this paper proposes a novel type of bistable structure based on tilted-angle compound parallelogram flexure to achieve a larger stroke of negative stiffness region while maintaining a compact physical size. As an application of the presented bistable mechanism, a flexure constant-force micropositioning stage is designed to deliver a large stroke. The constant force output is obtained by combining a bistable flexure mechanism with a positive-stiffness flexure mechanism. To facilitate the parametric design of the flexure mechanism, analytical models are derived to quantify the stage performance. The models are verified by carrying out nonlinear finite-element analysis (FEA). A metal prototype is fabricated for experimental study. Results demonstrate the effectiveness of the proposed ideas for a long-stroke, constant-force compliant mechanism dedicated to precision micropositioning applications. Experimental results also show the appearance of two-stage constant force due to the manufacturing errors of the bistable beams.

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Fig. 1

Illustration of force (f) versus displacement (x) behaviors of a bistable mechanism (dashed line), a positive-stiffness mechanism (dash-dot line), and a constant-force mechanism (solid line)

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Fig. 4

Force–displacement behavior of a flexure beam for the bistable mechanism. (a) In-plane width h is varied; (b) beam length L is varied; and (c) inclined angle γ is varied.

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Fig. 3

Parameters and deformation of a fixed-guided beam

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Fig. 2

Conventional bistable flexure mechanism. (a) Configuration 1 and (b) configuration 2.

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Fig. 5

Proposed new bistable flexure mechanism. (a) Tilted-angle parallelogram flexure and (b) double tilted-angle parallelogram flexure.

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Fig. 6

Force–displacement behavior of two different bistable mechanisms

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Fig. 7

Force–displacement behaviors of the proposed bistable mechanism as the in-plane width h of the connecting beams varies

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Fig. 12

Two stable positions (a) and (b) of the proposed bistable mechanism

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Fig. 13

Force–displacement relationship of the fabricated prototype stage

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Fig. 10

Nonlinear FEA results of the constant-force mechanism. The left part is the bistable mechanism and the right part is the positive-stiffness mechanism.

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Fig. 8

Conceptual design of a constant-force flexure micropositioning mechanism. (a) Bistable mechanism, (b) positive-stiffness mechanism, and (c) constant-force mechanism.

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Fig. 9

(a) Force–displacement behavior of the constant-force mechanism and the two component mechanisms and (b) force error between the analytical model and simulation results for the constant-force mechanism

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Fig. 11

(a) CAD model and (b) prototype of the designed constant-force stage



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